Greatest Common Factor of 2537 and 2543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2537, 2543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2537 and 2543 is 1.

GCF(2537,2543) = 1

GCF of 2537 and 2543

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2537 and 2543

GCF of 2537 and 2543 is 1

Prime Factorization of 2537


43 2537
59 59
1

Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:

2537 = 431×591

Prime Factorization of 2543


2543 2543
1

Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:

2543 = 25431

∴ So by taking common prime factors GCF of 2537 and 2543 is 1

Greatest Common Factor of 2537 and 2543 by matching factors method

Factors of 2537

List of positive integer factors of 2537 that divides 2537 without a remainder.

1,43,59,2537

Factors of 2543

List of positive integer factors of 2543 that divides 2543 without a remainder.

1,2543

Greatest Common Factor

We found the factors and prime factorization of 2537 and 2543. The biggest common factor number is the GCF number.
So the greatest common factor 2537 and 2543 is 1.

Also check out the Least Common Multiple of 2537 and 2543

Properties of GCF 2537 and 2543

(i) The GCF of 2537 and 2543 is associative

GCF of 2537 and 2543 = GCF of 2543 and 2537

Related Greatest Common Factor of 2537

Related Greatest Common Factor of 2543

Frequently Asked Questions on GCF of 2537 and 2543

1. What is the GCF of 2537 and 2543?

Answer: GCF of 2537 and 2543 is 1.

2. What are the Factors of 2537?

Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.

3. What are the Factors of 2543?

Answer: Factors of 2543 are 1, 2543. There are 2 integers that are factors of 2543. The greatest factor of 2543 is 2543.

4. How to Find the GCF of 2537 and 2543?

Answer:

Greatest Common Factor of 2537 and 2543 = 1

Step 1: Find the prime factorization of 2537

2537 = 43 x 59

Step 2: Find the prime factorization of 2543

2543 = 2543

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2537 and 2543 is 1